The Cuntz algebra Q_N and C*-algebras of product systems

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Abstract

We consider a product system over the multiplicative group semigroup N^x of Hilbert bimodules which is implicit in work of S. Yamashita and of the second named author. We prove directly, using universal properties, that the associated Nica-Toeplitz algebra is an extension of the C*-algebra Q_N introduced recently by Cuntz.
Original languageEnglish
Title of host publicationProgress in operator algebras, noncommutative geometry, and their applications : Proceedings of the 4th annual meeting of the European Noncommutative Geometry Network, Bucharest, April 25-30, 2011
EditorsIonel Popescu, Radu Purice
Place of PublicationBucharest
PublisherTheta
Publication date2012
Pages97-109
ISBN (Print)978-606-8443-01-0
Publication statusPublished - 2012
SeriesTheta Series in Advanced Mathematics

Keywords

  • C*-algebra
  • Hilbert bimodule
  • product system

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